Search a number
-
+
8189976032 = 2572171132719
BaseRepresentation
bin1111010000010100…
…10001110111100000
3210010202212220000122
413220022101313200
5113233113213112
63432403335412
7406645435100
oct75012216740
923122786018
108189976032
113523034237
121706981568
13a069ca984
145799db200
1532e024872
hex1e8291de0

8189976032 has 144 divisors (see below), whose sum is σ = 20042951040. Its totient is φ = 3273080832.

The previous prime is 8189976019. The next prime is 8189976059. The reversal of 8189976032 is 2306799818.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3010769 + ... + 3013487.

It is an arithmetic number, because the mean of its divisors is an integer number (139187160).

Almost surely, 28189976032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8189976032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10021475520).

8189976032 is an abundant number, since it is smaller than the sum of its proper divisors (11852975008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8189976032 is a wasteful number, since it uses less digits than its factorization.

8189976032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 53.

The square root of 8189976032 is about 90498.4863519827. The cubic root of 8189976032 is about 2015.7076479356.

The spelling of 8189976032 in words is "eight billion, one hundred eighty-nine million, nine hundred seventy-six thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 113 119 136 196 224 226 238 272 392 452 476 544 784 791 833 904 952 1568 1582 1666 1808 1904 1921 2719 3164 3332 3616 3808 3842 5438 5537 6328 6664 7684 10876 11074 12656 13328 13447 15368 19033 21752 22148 25312 26656 26894 30736 38066 43504 44296 46223 53788 61472 76132 87008 88592 92446 94129 107576 133231 152264 177184 184892 188258 215152 266462 304528 307247 323561 369784 376516 430304 532924 609056 614494 647122 739568 753032 1065848 1228988 1294244 1479136 1506064 2131696 2150729 2264927 2457976 2588488 3012128 4263392 4301458 4529854 4915952 5176976 5223199 8602916 9059708 9831904 10353952 10446398 15055103 17205832 18119416 20892796 30110206 34411664 36238832 36562393 41785592 60220412 68823328 72477664 73124786 83571184 120440824 146249572 167142368 240881648 255936751 292499144 481763296 511873502 584998288 1023747004 1169996576 2047494008 4094988016 8189976032